30113660640 has 192 divisors, whose sum is σ = 111339615744. Its totient is φ = 6697064448.

The previous prime is 30113660597. The next prime is 30113660653. The reversal of 30113660640 is 4606631103.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30113660598 and 30113660607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3207 + ... + 245433.

It is an arithmetic number, because the mean of its divisors is an integer number (579893832).

Almost surely, 2^30113660640 is an apocalyptic number.

30113660640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30113660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55669807872).

30113660640 is an abundant number, since it is smaller than the sum of its proper divisors (81225955104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30113660640 is a wasteful number, since it uses less digits than its factorization.

30113660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242289 (or 242281 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 30113660640 in words is "thirty billion, one hundred thirteen million, six hundred sixty thousand, six hundred forty".